Answer:
Esta no es una corona de oro porque la densidad del oro es de 19,3 g / cm ^ 3
Step-by-step explanation:
La densidad de la corona se puede obtener del principio de Arquímedes.
Arquímedes descubrió que la fuerza de empuje hacia arriba sobre un sólido es igual al peso del fluido desplazado. entonces, cuando insertamos la corona en un cilindro de medición con un volumen específico, el volumen de agua desplazado es el volumen de la corona.
Dado que tenemos el volumen de la corona como 300 cm ^ 3 y su masa como 1,5 Kg.
La densidad de la corona = 1500 g / 300 cm ^ 3 = 5 g / cm ^ 3
Esta no es una corona de oro porque la densidad del oro es de 19,3 g / cm ^ 3
Conociendo la masa y el volumen de la corona de Herón, queremos saber si esta estaba hecha de oro o no.
Veremos que los datos proporcionados no coinciden con los que tendría el oro puro.
Sabemos que cada material conocido tiene una dada densidad a una dada temperatura. (Donde densidad es el cociente entre masa y volumen)
Particularmente, sabemos qe el oro tiene una densidad de 19.300 kg/m^3
En este caso, sabemos que la corona tiene una masa de 1.5kg y un volumen de 300cm^3
Notar que las unidades de volumen son diferentes, por lo que devemos cambiarlas:
1m = 100cm
entonces:
1cm = 0.01m
(1cm)^3 = 1cm^3 = (0.01m)^3
Entonces tendremos:
V = 300cm^3 = 0.000001*300 m^3 = 0.0003 m^3
Ahora podemos calcular la densidad como:
D = masa/volumen = 1.5kg/0.0003 m^3 = 5000 kg/m^3
Notar que esto es un tercio de la densidad del oro, asi que no, esto no es oro.
Sí quieres aprender más, puedes leer.
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PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
-12
Step-by-step explanation:
Each dash is +-4
Sylvia plans to place 617 stamps in an album. Each page of the album holds 5 stamps. She uses division to find out how many full pages she will have. How many full pages will she have?
Answer:
123 full pages
Step-by-step explanation:
Given
[tex]Total\ Stamps = 617\ stamps[/tex]
[tex]Each\ Page = 5\ stamps[/tex]
Required
Determine the number of full page
To do this, we simply divide the total stamps by stamps in each page;
[tex]Pages = \frac{Total\ Stamps}{Each\ Page}[/tex]
[tex]Pages = \frac{617}{5}[/tex]
[tex]Pages = 123.4[/tex]
Then we record only the quotient
The quotient is the digits before the decimal
[tex]Pages = 123[/tex]
Hence, she has 123 full pages
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
if 6 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answer:
5 litres
Step-by-step explanation:
60 ÷ 10 = 6
50 ÷ 10 = 5
So 5 litres of petro
I hope this helped, please mark Brainliest, thank you!
what is 5(3x+8) answer?
Answer:
15x + 40
Step-by-step explanation:
5(3x + 8)
Use the distributive property and multiply 5 by 3x and 8
5(3x + 8)
15x + 40
Help me ASAP for this question.
Answer:
C 72
Step-by-step explanation:
complementary meaning they add up to 90 degrees, so 90-18=72
Answer:
72 Degrees
Step-by-step explanation:
Complementary are angles that add up to 90 degrees. So 90 - 18.
For any linear function f(x) = mx + b, when does 5f(x) = f(5x)?
a) always
b) when b = 0
c) when b = 5/4
d) when b = 5
Answer:
B
Step-by-step explanation:
calculate the perimeter of a square with vertices on a circle of diameter 4 cm
Answer:
I dont like sqaures.
Step-by-step explanation: Their pointy.
is the point (20,13) on this line?
Answer:
yes
Step-by-step explanation:
the graph needs to be shown for us to answer it.
Step-by-step explanation:
10
Steve has 54 stamps in his collection of 13€,
294, and 45¢ stamps, totaling a value of $15.98.
If the number of 13¢ stamps is doubled, the
new total value of his stamp collection would
be $17.80. Find the number of each type of
stamp in his collection.
A) 14- 13€, 24 - 294, 16 - 45€
they felt like it
B) 16- 134, 25 - 294, 13- 45°
she lost a bet
C) 15 - 13€, 24-29€, 15 - 45°
she was bored
D) 15 - 13€, 25 - 294, 14- 454
she thought it was cool
E) 14- 13¢, 25 - 29%, 15 - 45°
it would be fun
Gina Wison II Ting Alpebra LC), 2016
This question was not written properly
Complete Question
Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.
Answer:
a) The number of 13 cent = 14
b) The number of 29 cent = 24
c) The number of 45 cent = 16
Step-by-step explanation:
We are told he has 54 stamps in total.
These stamps are;13 cent, 29 cent, and 45 cent stamps.
Let's
Number of 13 cent = a
Number of 29 cent = b
Number of 45 cent = c
Hence,
a + b + c = 54........... Equation 1
The total value of the 3 stamps are $15.98.
1 cent = $0.01
We have
0.13a + 0.29b + 0.45c= $15.98 ......... Equation 2
We know from the question that:
13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.
Therefore
2(0.13a) + 0.29b + 0.45c = 17.8
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
Combining Equation 2 and 3 together
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.26a + 0.29b + 0.45c = 17.8 ......... Equation 3
We eliminate b and c by Subtracting Equation 3 from 3
0.13a = 1.82
a = 1.82/0.13
a = 14
a + b + c = 54........... Equation 1
Since a = 14
14 + b + c = 54
b + c = 54 - 14
b + c = 40
c = 40 - b
Substitute 40 - b for c and 14 for a is Equation 2
0.13a + 0.29b + 0.45c= 15.98 ......... Equation 2
0.13(14 ) + 0.29b + 0.45(40 - b) = 15.98
= 1.82 + 0.29b + 18 - 0.45b = 15.98
Collect like terms
1.82 + 18 - 15.98 = 0.45b - 0.29b
3.84 = 0.16b
b = 3.84/0.16
b = 24
Hence: Solving for c
a + b + c = 54........... Equation 1
14 + 24 + c = 54
38 + c = 54
c = 54 - 38
c = 16
Therefore,
The number of 13 cent = 14
The number of 29 cent = 24
The number of 45 cent = 16
If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?
=================================
Work Shown:
Solve the second equation for f(b)
2f(b) = 28
f(b) = 28/2
f(b) = 14
----------
Plug in x = b and solve for b
f(x) = 3x-1
f(b) = 3b-1 ... replace every x with b
14 = 3b-1 ..... plug in f(b) = 14
3b-1 = 14
3b = 14+1
3b = 15
b = 15/3
b = 5
-----------
f(x) = 3x-1
f(2b) = 3(2b)-1 .... replace every x with 2b
f(2b) = 3(2*5)-1 .... plug in b = 5
f(2b) = 3*10-1
f(2b) = 30-1
f(2b) = 29
Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. b x=10 in. PLS HELP WILL MARK AS BRIANLIEST PLSS
Given:
Side length of square is x = 10 in.
To find:
Area of a square with side length x when x = 10 in.
Check whether the area of a square and the length of its side directly proportional.
Solution:
Area of square is
[tex]Area=(side)^2[/tex]
[tex]Area=x^2[/tex]
For x=10, we have
[tex]Area=(10)^2[/tex]
[tex]Area=100[/tex]
Therefore, the area of square is 100 sq. in. when x=10 in.
For x=1,
[tex]A_1=1^2=1[/tex]
[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]
For x=2,
[tex]A_2=1^2=4[/tex]
[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]
Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].
Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.
Choose the correct answer to 992/16.
Answer:
62
Step-by-step explanation:
How many times can 16 go into 992.
16*10 = 160
16*50 = 800
Now you have 960
16*2 = 32
Now you have 996
Hope this helps ya!!
Sasha sells T-shirts. Each day she earns a set amount, plus a commission.
Assume Sasha sells 24 T-Shirts in one day. How much would she earn that day?
Answer:
137$
Step-by-step explanation:
Let the slope of the equation be
[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
where y = Total pay
x = T-shirts sold
Take any two values of x and corresponding y value
[tex]m=\dfrac{71-68}{2-1}\\\Rightarrow m=3[/tex]
The equation will be
[tex]y=mx+b[/tex]
Finding b
[tex]68=3\times 1+b\\\Rightarrow b=68-3\\\Rightarrow b=65[/tex]
The equation is
[tex]y=3x+65[/tex]
Now sasha sells 24 shirts [tex]x=24[/tex]
[tex]y=3\times 24+65\\\Rightarrow y=137[/tex]
Sasha would earn 137$ on that day.
What is the binary number for 24
Answer:
Here im to lazy to solve so a pic
Step-by-step explanation:
Answer
11000
Explanation
I looked it up
1+8k=-6+8k how many solutions? marking brainlyest
Answer:
there is no solutions
Step-by-step explanation:
Answer:
The equation has no solution
Step-by-step explanation:
1 does not equal -6
a) Write 7.1 x 10² as an ordinary number.
Answer:
710 is the answer.
Step-by-step explanation:
7.1 x 10^2
10^2= 10 x 10 = 100
so,
7.1 x 100 = 710
Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.
Answer:
The answer would be 3(x + 6).
3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number
What is Expression?An expression is combination of variables, numbers and operators.
Given,
We need to find the expression of word phrase "the product of 3 and 6 more than a number"
Product means multiplication of two or more numbers.
more than a number means a number is added to it.
Here in the given phrase, x is the added number.
6 more than a number means 6+x
the product of 3 and 6 more than a number
3(x+6)
Hence 3(x+6) is the expression represents the word phrase the product of 3 and 6 more than a number
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what is the experimental probability that a coin toss will result in two heads showing
what is the experimental probability that a coin toss will result in two tail showing
what is the experimental probability that a coin toss will result in one head and one tail showing
Answer:
50% if its one head and one tail. If it's two heads then it may be 25%
Step-by-step explanation:
In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent consecutive (same side) interior angles? Select all that apply.
Fast Food 2 and the Park
the Lake and the Post Office
the Apartments and Fast Food 1
Fast Food 2 and the Grocery Store
the Apartments and the Post Office
the Big Box Store and the Grocery Store
Answer:
Option (3)
Step-by-step explanation:
Option (1)
Fast food 2 and the Park → Consecutive exterior angles
Option (2)
The lake and the Post office→ Consecutive exterior angles
Option (3)
The Apartments and Fast food 1 → Consecutive interior angles
Option (4)
Fast food 2 and the Grocery store → Linear pair of angles
Option (5)
The Apartments and the Post office → Linear pair of angles
Option (6)
The Big Box Store and the Grocery Store → Consecutive interior angles
Therefore, Option (3) and Option (6) will be the correct options.
if (3x_25)⁰ and( x+15⁰) are complemantary angles find the angles. pls answer fast my friend I will mark brainly
Answer:
50 degrees, 40 degrees
Step-by-step explanation:
3x-25+x+15=90 Complementary angles add up to 90 degrees
4x-10=90
4x=100
x=25
75-25=50 and 25 plus 15=40 50+40=90
x=25°
Further explanationThere are two angles that can form:
• Supplementary Angles: if both angles are added = 180 °
• Complementary Angles: if both angles are added = 90 °
(3x-25)+((x+15)=90
4x-10=90
4x=100
x=25°
What is the volume of a box that measures 12cm by 7cm by 19cm
Answer:
1,596 cm cubed
Step-by-step explanation:
Volume of box = 12*7*19= 1,596 cm cubed
Answer:
1596
Step-by-step explanation:
To find the volume of a box, you multiply the length, width, and height of the box.
So, 12 times 7 is 84 times 19 is 1596.
Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?
Answer:
y = 23x + 10
y = 28x + 0
Step-by-step explanation:
Given that:
Miguel :
Velocity = 23 km/hr
Starting position = 10 miles
Gabby:
Velocity = 28 km/hr
Starting position = 0 miles
The general form of a linear equation :
y = mx + c
In the scenario above ; the starting points corresponds to the intercept, c
The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x
Hence ;
Miguel:
y = 23x + 10
Gabby:
y = 28x + 0
abel has $10. he buys a hotdogs for $2,and then he buys 5 bags of chips. if he has no money left, what was the cost of each bag
Answer:
$1.6
Step-by-step explanation:
do 10-2 then you do 8 dived by 5
Answer:
The cost of each bag is $1.6 according to my calculations.
Step-by-step explanation:
Probably really easy and I’m just overthinking it but please help me
42 divied by 3kg the after you get that answer then multiply that by 4kg
Step-by-step explanation:
3 kg of rump steak = £ 42
So, 1 kg of rump steak = £ 42/3 = £ 14
So, 4 kg of rump steak = £ 14 × 4 = £ 56
P>.9 and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value
Complete Question
The alternative hypothesis is [tex]H_a : p > 0.9[/tex] and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value
Answer:
This a right tailed test
The p-value is p-value = 0.14917
Step-by-step explanation:
From the question we are told that
The alternative hypothesis is [tex]H_a : p > 0.9[/tex]
The test statistics is [tex]z = 1.04[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally this a right tailed test because from the alternative hypothesis p > 0.9 i.e due to the greater than sign signifying that test will be focusing on the right tail of the normal curve
From the z table the area under the normal curve to the right corresponding to 1.04 is
P( Z> 1.04 ) = 0.14917
Generally the p-value is mathematically represented as
p-value = P( Z> 1.04 ) = 0.14917
Which graph shows y = 2x – 12?
Answer:
(0,6) (0,-12)
Step-by-step explanation:
The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12.
The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12. This means that the graph will have a positive slope, indicating a upward trend, and it will intersect the y-axis at the point (0, -12).
To sketch the graph, you can start by plotting the y-intercept at (0, -12). From there, use the slope of 2 to determine additional points by moving 1 unit horizontally (to the right) and 2 units vertically (upward) to plot another point. Repeat this process to plot more points, then connect them to form a straight line.
Keep in mind that a visual representation is essential for accurately identifying the specific graph of y = 2x - 12.
Learn more about graph here
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The price of an item has been reduced by 15% the original price was $73
Answer:
$62.05 is the new price
the reduced price is $10.95
Step-by-step explanation:
73*.85=62.05
I need help asap thxss
Answer:
Step-by-step explanation:
Expand
(2x + 2)(x + 4
Answer:
2x^2+10x+8
Step-by-step explanation:
(2x+2)(x+4)
=(2x+2)(x+4)
=(2x)(x)+(2x)(4)+(2)(x)+(2)(4)
=2x^2+8x+2x+8
=2x^2+10x+8
Answer:
Work shown below!
Step-by-step explanation:
[tex](2x+2)(x+4)=2x^{2} +8x+2x+8=2x^{2} +10x+8[/tex]